Atkin-Lehner |
2- 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
36792h |
Isogeny class |
Conductor |
36792 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7666129652097837312 = 28 · 320 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412235535,-3221560202222] |
[a1,a2,a3,a4,a6] |
Generators |
[-770488271370024079:-3332464172003862:65728939379293] |
Generators of the group modulo torsion |
j |
41513800617145296098818000/41077940951313 |
j-invariant |
L |
4.6708348908977 |
L(r)(E,1)/r! |
Ω |
0.033505275886151 |
Real period |
R |
17.42574403345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73584g2 12264a2 |
Quadratic twists by: -4 -3 |